Download presentation

Presentation is loading. Please wait.

Published byTyler McCann Modified over 3 years ago

1
Dynamo and Magnetic Helicity Flux Hantao Ji CMSO & PPPL CMSO General Meeting Princeton, October 5-7, 2005 Contributors: Eric Blackman (Rochester) Stewart Prager (Wisconsin)

2
Outline Introduction to magnetic relaxation Magnetic helicity transport The -effect Relation between the -effect and helicity transport Summary

3
Reversed Field Pinch (RFP) Plasmas Sustained by a Toroidal Electric Field Donut-shaped plasmas is enclosed by electrically conducting shells –Cuts in both toroidal and poloidal directions allow flux penetration. –Rate of flux change corresponds to finite loop voltages.

4
Determining Integrated Quantities Directly measured –Total toroidal current (plasma current) –Total toroidal flux –Toroidal and poloidal loop voltages Inferred from equilibrium –Total internal poloidal flux –Total magnetic helicity –Total magnetic energy Periodic relaxations Toroidal flux in MST

5
Balance of Integrated Quantities Between relaxations: dissipation injection During relaxations: dissipation rate of change ensemble average: injection dissipation

6
Balance of Mean Profiles: Transport K is transported outward W is dissipated in the core

7
Helicity in a Sub-volume of a Torus Total helicity K can be split into three parts:

8
Transport of Magnetic Helicity The required magnetic helicity flux at r=b can be determined. outward helicity transport

9
Fluctuation-driven Flux Explains Helicity Transport

10
Balance of Mean Electric Field Profile: the -Effect Requires nonzero

11
The -effect in MHD Ohms law: The mean and turbulent parts: The -effect:

12
Measured -effect Satisfies Mean Ohms Law

13
Experiment (plasma edge): Electric Field is Mainly Electrostatic Simulation: Bonfiglio, Cappello & Escande (2005)

14
Averaging over periodic (toroidal & poloidal) directions: -effect Closely Related to Helicity Flux The -effect is propotional to the convergence of helicity flux.

15
Summary Magnetic relaxation is accompanied by -effect and magnetic helicity transport. and helicity flux are related by –where averaging is taken in the periodic direction(s), and –helicity flux points towards the un-averaged direction(s). Astrophysical implications –Averaging directions important

Similar presentations

OK

Multiple reconnections and explosive events and in MST and solar flares Gennady Fiksel CMSO workshop, Princeton, NJ, Oct 5-8, 2005.

Multiple reconnections and explosive events and in MST and solar flares Gennady Fiksel CMSO workshop, Princeton, NJ, Oct 5-8, 2005.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on consumer rights in india Ppt on brand management by keller Ppt on 9/11 conspiracy Ppt on business communication barriers Ppt on limits and continuity lecture Ppt on condition monitoring training Ppt on energy resources and conservation Ppt on trade union act 1926 in india Ppt on global warming and its effects Ppt on flash animation tutorial